A Triangular Shell Element Based on Higher-order Strains for the Analysis of Static and Free Vibration

This research paper proposes a new triangular cylindrical finite element for static and free vibration analysis of structures. The formulation the proposed is based on deep shell theory uses assumed strain functions instead displacement functions. satisfy compatibility equations. possesses only five necessary degrees freedom each three corner nodes. element's field, which contains higher-order terms, satisfies requirement rigid-body displacement. performance evaluated using various numerical tests problems, including an effect openings natural frequencies. results developed are in comparison with published analytical solutions. straightforward. Compared to degenerate nine-node other elements, present have shown excellent accuracy efficiency predicting curved requires use very coarse meshes converge. In addition, shape this more advantageous than quadrilateral when geometric domain structure deformed or complicated. Doi: 10.28991/CEJ-2022-08-10-06 Full Text: PDF